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coneSystem -- compute the chamber decomposition of weights

Description

The set of weights th for which the polytope (Q,th) is nonempty lies in a fan CQ. This fan is partitioned into cones by the walls of the toric quiver Q, and for each partition there exists a unique flow polytope. For a detailed discussion see Lutz Hille "Quivers, cones and polytopes", Linear algebra and its applications 365 (2003): 215-237.

i1 : Q = toricQuiver {{0,1},{0,2},{0,3},{1,2},{1,3},{2,3}};
i2 : CS = coneSystem Q

o2 = {Cone{...1...}, Cone{...1...}, Cone{...1...}, Cone{...1...},
     ------------------------------------------------------------------------
     Cone{...1...}, Cone{...1...}, Cone{...1...}}

o2 : List

See also

For the programmer

The object coneSystem is a function closure.


The source of this document is in /build/reproducible-path/macaulay2-1.25.06+ds/M2/Macaulay2/packages/ThinSincereQuivers.m2:3279:0.